Đ) Write 28 + 24 as a product of two factors using the GCF and the distributive property. 28 + 24 = ? (?+?)​

Answer:

$50

Step-by-step explanation:

To find the amount of interest earned in 8 years, we can use the formula:

interest = principal * rate * time

where "principal" is the initial deposit, "rate" is the interest rate, and "time" is the number of years the interest is compounded.

Plugging in the values from the problem, we get:

interest = $250 * 2.5% * 8 years

interest = $250 * 0.025 * 8

interest = $50

So Ernie will earn $50 in interest in 8 years on his initial deposit of $250.

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The value of the height(h) is  10. 0702 cm

From the information given, we have to use the SOHCAHTOA rule

Using the trigonometric identities, we have;

From the diagram shown, we have;

Using the trigonometric identity, sine, we have;

sine 46 = h/ 14

Now, cross multiply, we get;

h = sin 46 × 14

find the value and substitute

h = 0. 7193 × 14

h = 10. 0702 cm

Hence, the value is 10. 0702 cm

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The time it will take the pizza to reach 0 degrees Celsius would be 0.75 minute.

A graph is defined as the diagram that is used to represent the variation of a variable in comparison with that of one or more other variables.

From the given graph above, the X axis is the time in minutes which is plotted against the temperature at y axis is degree Celsius.

From the graph, the time it will take the pizza to reach 0 degrees Celsius would be 0.75 minute.

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Answer:

260 centimeters is more

Step-by-step explanation:

There is 100 cm in 1 meter, which means that there would be 250 cm in 2.5 meters. 250 < 260, so 260 cm is greater than 2.5 meters.

Answer:80 pieces

Step-by-step explanation:

The probability of rolling a number less than 4 on a six-sided die, when rolled 20 times, is 0.5.

Probability is the mathematical study of outcomes in uncertain situations. It is used to describe the likelihood of an event occurring, and it can be expressed as a number between 0 and 1. Probability is used to quantify the uncertainty associated with any given event. It helps us understand how likely it is that something will happen, and it can be used to make predictions about future events. Probability theory is a cornerstone of modern statistics and is widely used in fields such as finance, economics, and science.

This is because there are four possible outcomes when rolling a six-sided die, and two of those outcomes are numbers less than 4: 1 and 2. The probability of rolling a number less than 4 is therefore 2/4, or 0.5. This probability holds true regardless of how many times the die is rolled, as long as it is a fair and unbiased die.

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Answer:

Infinite solutions

Step-by-step explanation:

Answer:

Infinite solutions

Step-by-step explanation:

2.4 (4x + 5) = 9.6x + 12

9.6x + 12 = 9.6x + 12

0 = 0

One pair of vertical angles are ∠2 and ∠4.

One pair angles that form a linear pair angles are ∠2 and ∠3.

One pair of angles that are supplementary are ∠1 and ∠4.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

Vertical angles:

∠2 and ∠4

∠1 and ∠3

∠6 and ∠8

∠5 and ∠7

Linear pair:

This means two angles that make 180 degrees.

∠2 and ∠3

∠1 and ∠4

∠6 and ∠7

∠5 and ∠8

Supplementary angles:

This means two angles give us 180 degrees.

∠2 and ∠3

∠1 and ∠4

∠6 and ∠7

∠5 and ∠8

Thus,

Vertical angles are ∠2 and ∠4.

Linear pair angles are ∠2 and ∠3.

The pair of supplementary angles are ∠1 and ∠4.

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Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

23+37=60 and add 9 to the left hand side and right hand side of equation doesn't change the consistency

Answer:

126

Step-by-step explanation:

it is the sum from x = 1 to x = 3

so we plug 1 to 3 in for x and add all those values

x = 1:

(3*1)^2 = 9

x=2:

(3*2)^2 = 36

x=3:

(3*3)^2 = 81

sum = 81  + 36 + 9 = 126

The equation that is not equivalent to p – 7 = 22 will be:

C. p – 7 + 22 = 22 – 7

D. p – 7 + 7 = 22 – 22

E. p – 7 + 7 = 22 + 7

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario

It should be noted that p – 7 + 22 = 22 – 7, p – 7 + 7 = 22 – 22 and p – 7 + 7 = 22 + 7 don't give the original equation. Therefore, the answers are C D and E.

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The solution to the exponential equation for this problem is given as follows:

x = 3.5.

The exponential equation for this problem is defined as follows:

[tex]5^{\frac{x}{7}} \times 25^{\frac{x}{2}} = 5^4[/tex]

25 is the second power of two, that is:

5².

Applying the power of power rule, we have that:

[tex]25^{\frac{x}{2}} = (5^2)^{\frac{x}{2}} = 5^{\frac{2x}{2}} = 5^x[/tex]

Hence the expression is simplified as follows:

[tex]5^{\frac{x}{7}} \times 5^x = 5^4[/tex]

When two terms are multiplied, having the same base and different exponents, the base is kept while the exponents are added, hence:

[tex]\frac{x}{7} + x = \frac{x}{7} + \frac{7x}{7} = \frac{8x}{7}[/tex]

Hence the expression is given as follows:

[tex]5^{\frac{8x}{7}} = 5^4[/tex]

As the 5^x function is injective, the value of x is obtained as follows:

8x/7 = 4

8x = 28

x = 28/8

x = 3.5.

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The solution of the rule is;

when y = 2, x = -4/3

when x = 8/3, y = 10/3

when x = 22/3, y = 24/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Using the rule [tex]y = x + \frac{2}{3}[/tex]

when y = 2

2 = x + 2/3

Multiplying both sides by 3

6 = 3x + 2

3x = 2 - 6

3x = -4

x = -4/3

when x = 8/3

y = 8/3 + 2/3

y = 10/3

when x = 22/3

y = 22/3 + 2/3

y = 24/3

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Answer:

99000

Step-by-step explanation:

it can be seen that in the sequence every next value differs by a decimal place through moving the decimal or adding zeros towards the right. In other words, every term is multiplied by 10 to get the next comsecutive term. Therefore, if we put another zero in the end of 9900 or multiplu it by 10 we get 99000 which is our answer.

0.99, 9.9, 99, 990, 9900, 99000.

hope that helps...

Answer:

x = 3/2

Step-by-step explanation:

6 - 2x = 3

-2x = -3

x = 3/2

I hope this helps!

Answer:

The substance that cannot pass through the cell membranes by simple diffusion is d) Water.

Step-by-step explanation:

Simple diffusion is a type of passive transport that allows substances to move from an area of higher concentration to an area of lower concentration. Small, uncharged molecules, such as oxygen, carbon dioxide, and glucose, can pass through the cell membranes by simple diffusion because they are small enough to fit through the pores in the membrane.

Water, on the other hand, is too large to pass through the pores in the cell membrane by simple diffusion. Instead, it must pass through the membrane by other means, such as osmosis or facilitated diffusion.

Therefore, the substance that cannot pass through the cell membranes by simple diffusion is d) Water.

Hope This Helps:)

Answer:

20 percent

Step-by-step explanation:

[tex]\frac{400}{500}[/tex][tex]=0.8[/tex]

[tex]1-0.8=0.2[/tex]

This means that 20 percent off of 500 is 400.

Answer:

The answer should be 20%

Step-by-step explanation:

Hope this helps

Answer:

23/30

Step-by-step explanation:

2-2/5-5/6=8/5-5/6=48/30-25/30=23/30

What is the equation of line?

A line can be represented by the slope-intercept form of the equation y = mx + b, where "m" is the slope of the line and "b" is the y-intercept. The slope of the line tells us how steep the line is and the direction it is going (positive or negative slope) and the y-intercept is the point at which the line crosses the y-axis.

1. y = 1.5x + 0, a parallel line would have the same slope (1.5) but a different y-intercept, such as y = 1.5x + 5

2. y = -3.7x - 1, a parallel line would have the same slope (-3.7) but a different y-intercept, such as y = -3.7x - 10

3. y = -0.5x, a parallel line would have the same slope (-0.5) but a different y-intercept, such as y = -0.5x + 10

4. y = -5 -4.2x, a parallel line would have the same slope (-4.2) but a different y-intercept, such as y = -4.2x + 10

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The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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The window measures 24 1/2 inches by 9 1/2 inches, so the area of the window is 24.5*9.5 = 230.25 square inches. Therefore, 230.25 square inches of glass are needed to replace the window

The pairs of equivalent expressions are matched as follows:

Equivalent expressions are expressions that are equal when both are simplified.

For the first expression, we have that:

(-14 + 3b/2) - (1 + 8/2b)

-14 + 3b/2 - 1 - 8/2b

Combining the like terms:

-15 - 5b/2.

For the second expression, we have that:

(5 + 2b) + (2b + 3/2)

5 + 2b + 2b + 3/2

10/2 + 4b + 3/2

4b + 13/2.

For the third expression, we have that:

(7b/2 - 3) - (8 + 6b)

7b/2 - 3 - 8 - 6b

7b/2 - 11 - 12b/2

-5b/2 - 11.

For the fourth expression, we have that:

(-10 + b) + (7b - 5)

-10 + b + 8b - 5

8b - 15.

The problem is given by the image shown at the end of the answer.

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Answer:

There are 128 fluid ounces in a gallon, so the 5 gallon jug contains 128 * 5 = 640 fluid ounces of water. There are 32 fluid ounces in a quart, so the 2 quart canteen contains 2 * 32 = 64 fluid ounces of water. That means Sam can fill her canteen with water from the jug 640 / 64 = 10 times.Step-by-step explanation:

.Step-by-step explanation:

Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.

Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.

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the complete question is

is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain

It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.

What is Momentum ?

The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .

So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,

whereas the object with 0 velocity will only have No (zero) momentum if the  mass is also 0 .

Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .

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Answer:

Step-by-step explanation:

b.221
as in 221 has no even digit in ones place.

Answer: The answer is option B (221).

Step-by-step explanation: As we know that ,

                                               for a number to be divisible by 2 ,

                                            the last digit of the number must ends with

                                           the digits 2 ,4 , 6 , 8 , 0 .

                  And from the following option ,

                In option A , 300 ends with 0 hence divisible by 2 .

                In option C , 24 ends with 4 hence divisible by 2 .

                In option D , 8 that is clearly divisible by 2.

                Only in option B , 221 ends with 1 , hence not divisible by 2.                      

It was more effective because a difference in proportions of 0.2 looked healthy after three weeks was 0.2.

A dot plot is a graph that displays individual data points as dots (markers) on a number line, showing the distribution of a dataset. It is similar to a histogram but is used when the data set has many unique values or when the data is not continuous.

In this case, we are told that a florist wants to determine if a new additive would help extend the life of cut flowers longer than the from the sample.

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Answer:$3.75

Step-by-step explanation:

you first multiply 3.75 and 5 and you get 18.75 then you subtract 18.75 by 15 since he paid 15 for the apples so after subtracting you get $3.75

A line of symmetry will connect a vertex and a midpoint of an opposite side, it has 7-fold symmetry.

A two-dimensional shape having seven sides and seven angles are called a heptagon. It is a member of the two-dimensional geometry polygon class. Polygons are closed geometric shapes with only straight edges. In Greek, "hepta" denotes seven, while "gonia" denotes an angle.

The true statements about the reflectional symmetry of a regular heptagon are:

A line of symmetry will connect a vertex and a mid-point of an opposite side,

A regular heptagon has 7 sides. So, it has 7-fold symmetry

Also, the line of symmetry passes through the midpoint and meets the opposite vertex.

Therefore, the true statements are: (b) and (c)

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Answer:

(19,13)

x = 19

y = 13

Step-by-step explanation:

5x + 3y = 134

x + y = 32 ⇒ multiply through by -3    -3x -3y = -96   add this to the first equation

5x + 3y = 134

-3x -3y = -96

2x       = 38  Divide both sides by 2

x = 19

Substitute 19 for x

x+ y = 32

19 + y = 32

y = 13

The expanded form 3f + 3f + 3f + 3f is written in condensed form to give

12f

To write in condensed form the concept of distributive laws of multiplication is applied

This is achieved as follows

3f + 3f + 3f + 3f

applying distributive law of multiplication we have

= (3f + 3f) + (3f + 3f)

= 2 * ( 3f ) + 2 * ( 3f )

= 4 * ( 3f )

= 12f

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